Question

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.Determine the value of x.

Answer 1

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x        -3x                     the x's on the left cross out

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 1 = 2x - 9

+9         +9                      having x on one side

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10 = 2x

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Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2     /2

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5 = x

Solution: x = 5

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Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

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Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

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Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

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